TSTP Solution File: SEU299+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:31 EDT 2022
% Result : Unknown 7.90s 8.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 08:09:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.12 ----- Otter 3.3f, August 2004 -----
% 1.96/2.12 The process was started by sandbox2 on n029.cluster.edu,
% 1.96/2.12 Wed Jul 27 08:09:59 2022
% 1.96/2.12 The command was "./otter". The process ID is 9368.
% 1.96/2.12
% 1.96/2.12 set(prolog_style_variables).
% 1.96/2.12 set(auto).
% 1.96/2.12 dependent: set(auto1).
% 1.96/2.12 dependent: set(process_input).
% 1.96/2.12 dependent: clear(print_kept).
% 1.96/2.12 dependent: clear(print_new_demod).
% 1.96/2.12 dependent: clear(print_back_demod).
% 1.96/2.12 dependent: clear(print_back_sub).
% 1.96/2.12 dependent: set(control_memory).
% 1.96/2.12 dependent: assign(max_mem, 12000).
% 1.96/2.12 dependent: assign(pick_given_ratio, 4).
% 1.96/2.12 dependent: assign(stats_level, 1).
% 1.96/2.12 dependent: assign(max_seconds, 10800).
% 1.96/2.12 clear(print_given).
% 1.96/2.12
% 1.96/2.12 formula_list(usable).
% 1.96/2.12 all A (A=A).
% 1.96/2.12 -(all A (ordinal(A)-> (exists B all C (in(C,B)<->in(C,succ(A))& (exists D (ordinal(D)&C=D& (in(D,omega)-> (all E (element(E,powerset(powerset(D)))-> -(E!=empty_set& (all F (-(in(F,E)& (all G (in(G,E)&subset(F,G)->G=F))))))))))))))).
% 1.96/2.12 exists A (-empty(A)&finite(A)).
% 1.96/2.12 all A exists B (element(B,powerset(A))&empty(B)&relation(B)&function(B)&one_to_one(B)&epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)&natural(B)&finite(B)).
% 1.96/2.12 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.96/2.12 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 1.96/2.12 all A (empty(A)->finite(A)).
% 1.96/2.12 exists A (relation(A)&function(A)).
% 1.96/2.12 all A (empty(A)->function(A)).
% 1.96/2.12 exists A (relation(A)&empty(A)&function(A)).
% 1.96/2.12 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.96/2.12 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.96/2.12 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 1.96/2.12 exists A (empty(A)&relation(A)).
% 1.96/2.12 all A (empty(A)->relation(A)).
% 1.96/2.12 exists A (-empty(A)&relation(A)).
% 1.96/2.12 exists A (relation(A)&relation_empty_yielding(A)).
% 1.96/2.12 all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.96/2.12 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.96/2.12 all A (ordinal(A)&natural(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))&natural(succ(A))).
% 1.96/2.12 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.96/2.12 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.12 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.12 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.12 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.12 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.96/2.12 all A exists B (element(B,powerset(A))&empty(B)).
% 1.96/2.12 exists A empty(A).
% 1.96/2.12 exists A (-empty(A)).
% 1.96/2.12 all A B subset(A,A).
% 1.96/2.12 all A B (in(A,B)-> -in(B,A)).
% 1.96/2.12 $T.
% 1.96/2.12 $T.
% 1.96/2.12 $T.
% 1.96/2.12 $T.
% 1.96/2.12 $T.
% 1.96/2.12 epsilon_transitive(omega).
% 1.96/2.12 epsilon_connected(omega).
% 1.96/2.12 ordinal(omega).
% 1.96/2.12 -empty(omega).
% 1.96/2.12 empty(empty_set).
% 1.96/2.12 relation(empty_set).
% 1.96/2.12 empty(empty_set).
% 1.96/2.12 relation(empty_set).
% 1.96/2.12 relation_empty_yielding(empty_set).
% 1.96/2.12 all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 1.96/2.12 all A (element(A,omega)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 1.96/2.12 all A (-empty(succ(A))).
% 1.96/2.12 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.96/2.12 relation(empty_set).
% 1.96/2.12 relation_empty_yielding(empty_set).
% 1.96/2.12 function(empty_set).
% 1.96/2.12 one_to_one(empty_set).
% 1.96/2.12 empty(empty_set).
% 1.96/2.12 epsilon_transitive(empty_set).
% 1.96/2.12 epsilon_connected(empty_set).
% 1.96/2.12 ordinal(empty_set).
% 1.96/2.12 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 1.96/2.12 all A (-empty(powerset(A))).
% 1.96/2.12 empty(empty_set).
% 1.96/2.12 all A (ordinal(A)-> ((all B C D (B=C& (exists E (ordinal(E)&C=E& (in(E,omega)-> (all F (element(F,powerset(powerset(E)))-> -(F!=empty_set& (all G (-(in(G,F)& (all H (in(H,F)&subset(G,H)->H=G)))))))))))&B=D& (exists I (ordinal(I)&D=I& (in(I,omega)-> (all J (element(J,powerset(powerset(I)))-> -(J!=empty_set& (all K (-(in(K,J)& (all L (in(L,J)&subset(K,L)->L=K)))))))))))->C=D))-> (exists B all C (in(C,B)<-> (exists D (in(D,succ(A))&D=C& (exists M (ordinal(M)&C=M& (in(M,omega)-> (all N (element(N,powerset(powerset(M)))-> -(N!=empty_set& (all O (-(in(O,N)& (all P (in(P,N)&subset(O,P)->P=O))))))))))))))))).
% 1.96/2.13 end_of_list.
% 1.96/2.13
% 1.96/2.13 -------> usable clausifies to:
% 1.96/2.13
% 1.96/2.13 list(usable).
% 1.96/2.13 0 [] A=A.
% 1.96/2.13 0 [] ordinal($c1).
% 1.96/2.13 0 [] in($f5(B),B)|in($f5(B),succ($c1)).
% 1.96/2.13 0 [] in($f5(B),B)|ordinal($f2(B)).
% 1.96/2.13 0 [] in($f5(B),B)|$f5(B)=$f2(B).
% 1.96/2.13 0 [] in($f5(B),B)| -in($f2(B),omega)| -element(E,powerset(powerset($f2(B))))|E=empty_set|in($f1(B,E),E).
% 1.96/2.13 0 [] in($f5(B),B)| -in($f2(B),omega)| -element(E,powerset(powerset($f2(B))))|E=empty_set| -in(G,E)| -subset($f1(B,E),G)|G=$f1(B,E).
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D|in(D,omega).
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D|element($f4(B,D),powerset(powerset(D))).
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D|$f4(B,D)!=empty_set.
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D| -in(F,$f4(B,D))|in($f3(B,D,F),$f4(B,D)).
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D| -in(F,$f4(B,D))|subset(F,$f3(B,D,F)).
% 1.96/2.13 0 [] -in($f5(B),B)| -in($f5(B),succ($c1))| -ordinal(D)|$f5(B)!=D| -in(F,$f4(B,D))|$f3(B,D,F)!=F.
% 1.96/2.13 0 [] -empty($c2).
% 1.96/2.13 0 [] finite($c2).
% 1.96/2.13 0 [] element($f6(A),powerset(A)).
% 1.96/2.13 0 [] empty($f6(A)).
% 1.96/2.13 0 [] relation($f6(A)).
% 1.96/2.13 0 [] function($f6(A)).
% 1.96/2.13 0 [] one_to_one($f6(A)).
% 1.96/2.13 0 [] epsilon_transitive($f6(A)).
% 1.96/2.13 0 [] epsilon_connected($f6(A)).
% 1.96/2.13 0 [] ordinal($f6(A)).
% 1.96/2.13 0 [] natural($f6(A)).
% 1.96/2.13 0 [] finite($f6(A)).
% 1.96/2.13 0 [] empty(A)|element($f7(A),powerset(A)).
% 1.96/2.13 0 [] empty(A)| -empty($f7(A)).
% 1.96/2.13 0 [] empty(A)|finite($f7(A)).
% 1.96/2.13 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.96/2.13 0 [] -empty(A)|finite(A).
% 1.96/2.13 0 [] relation($c3).
% 1.96/2.13 0 [] function($c3).
% 1.96/2.13 0 [] -empty(A)|function(A).
% 1.96/2.13 0 [] relation($c4).
% 1.96/2.13 0 [] empty($c4).
% 1.96/2.13 0 [] function($c4).
% 1.96/2.13 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.13 0 [] relation($c5).
% 1.96/2.13 0 [] function($c5).
% 1.96/2.13 0 [] one_to_one($c5).
% 1.96/2.13 0 [] relation($c6).
% 1.96/2.13 0 [] relation_empty_yielding($c6).
% 1.96/2.13 0 [] function($c6).
% 1.96/2.13 0 [] empty($c7).
% 1.96/2.13 0 [] relation($c7).
% 1.96/2.13 0 [] -empty(A)|relation(A).
% 1.96/2.13 0 [] -empty($c8).
% 1.96/2.13 0 [] relation($c8).
% 1.96/2.13 0 [] relation($c9).
% 1.96/2.13 0 [] relation_empty_yielding($c9).
% 1.96/2.13 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.96/2.13 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.96/2.13 0 [] -empty(A)| -ordinal(A)|natural(A).
% 1.96/2.13 0 [] -empty($c10).
% 1.96/2.13 0 [] epsilon_transitive($c10).
% 1.96/2.13 0 [] epsilon_connected($c10).
% 1.96/2.13 0 [] ordinal($c10).
% 1.96/2.13 0 [] natural($c10).
% 1.96/2.13 0 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 1.96/2.13 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.96/2.13 0 [] epsilon_transitive($c11).
% 1.96/2.13 0 [] epsilon_connected($c11).
% 1.96/2.13 0 [] ordinal($c11).
% 1.96/2.13 0 [] relation($c12).
% 1.96/2.13 0 [] function($c12).
% 1.96/2.13 0 [] one_to_one($c12).
% 1.96/2.13 0 [] empty($c12).
% 1.96/2.13 0 [] epsilon_transitive($c12).
% 1.96/2.13 0 [] epsilon_connected($c12).
% 1.96/2.13 0 [] ordinal($c12).
% 1.96/2.13 0 [] -empty(A)|epsilon_transitive(A).
% 1.96/2.13 0 [] -empty(A)|epsilon_connected(A).
% 1.96/2.13 0 [] -empty(A)|ordinal(A).
% 1.96/2.13 0 [] -empty($c13).
% 1.96/2.13 0 [] epsilon_transitive($c13).
% 1.96/2.13 0 [] epsilon_connected($c13).
% 1.96/2.13 0 [] ordinal($c13).
% 1.96/2.13 0 [] empty(A)|element($f8(A),powerset(A)).
% 1.96/2.13 0 [] empty(A)| -empty($f8(A)).
% 1.96/2.13 0 [] element($f9(A),powerset(A)).
% 1.96/2.13 0 [] empty($f9(A)).
% 1.96/2.13 0 [] empty($c14).
% 1.96/2.13 0 [] -empty($c15).
% 1.96/2.13 0 [] subset(A,A).
% 1.96/2.13 0 [] -in(A,B)| -in(B,A).
% 1.96/2.13 0 [] $T.
% 1.96/2.13 0 [] $T.
% 1.96/2.13 0 [] $T.
% 1.96/2.13 0 [] $T.
% 1.96/2.13 0 [] $T.
% 1.96/2.13 0 [] epsilon_transitive(omega).
% 1.96/2.13 0 [] epsilon_connected(omega).
% 1.96/2.13 0 [] ordinal(omega).
% 1.96/2.13 0 [] -empty(omega).
% 1.96/2.13 0 [] empty(empty_set).
% 1.96/2.13 0 [] relation(empty_set).
% 1.96/2.13 0 [] empty(empty_set).
% 1.96/2.13 0 [] relation(empty_set).
% 1.96/2.13 0 [] relation_empty_yielding(empty_set).
% 1.96/2.13 0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.96/2.13 0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.96/2.13 0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.96/2.13 0 [] -element(A,omega)|epsilon_transitive(A).
% 1.96/2.13 0 [] -element(A,omega)|epsilon_connected(A).
% 1.96/2.13 0 [] -element(A,omega)|ordinal(A).
% 1.96/2.13 0 [] -element(A,omega)|natural(A).
% 1.96/2.13 0 [] -empty(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.96/2.13 0 [] -ordinal(A)|epsilon_connected(A).
% 1.96/2.13 0 [] relation(empty_set).
% 1.96/2.13 0 [] relation_empty_yielding(empty_set).
% 1.96/2.13 0 [] function(empty_set).
% 1.96/2.13 0 [] one_to_one(empty_set).
% 1.96/2.13 0 [] empty(empty_set).
% 1.96/2.13 0 [] epsilon_transitive(empty_set).
% 1.96/2.13 0 [] epsilon_connected(empty_set).
% 1.96/2.13 0 [] ordinal(empty_set).
% 1.96/2.13 0 [] -ordinal(A)| -empty(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal(succ(A)).
% 1.96/2.13 0 [] -empty(powerset(A)).
% 1.96/2.13 0 [] empty(empty_set).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f15(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f11(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)=$f11(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set|in($f10(A,F),F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f11(A),omega)| -element(F,powerset(powerset($f11(A))))|F=empty_set| -in(H,F)| -subset($f10(A,F),H)|H=$f10(A,F)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|$f16(A)=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|ordinal($f13(A))|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|$f14(A)=$f13(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set|in($f12(A,J),J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)| -in($f13(A),omega)| -element(J,powerset(powerset($f13(A))))|J=empty_set| -in(L,J)| -subset($f12(A,J),L)|L=$f12(A,J)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))|C=$f18(A,C).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set|in($f17(A,C,N),N).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(N,powerset(powerset($f18(A,C))))|N=empty_set| -in(P,N)| -subset($f17(A,C,N),P)|P=$f17(A,C,N).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|in(M,omega).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|element($f21(A,C,D,M),powerset(powerset(M))).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M|$f21(A,C,D,M)!=empty_set.
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|in($f20(A,C,D,M,O),$f21(A,C,D,M)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|subset(O,$f20(A,C,D,M,O)).
% 1.96/2.13 0 [] -ordinal(A)|$f15(A)!=$f14(A)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(M)|C!=M| -in(O,$f21(A,C,D,M))|$f20(A,C,D,M,O)!=O.
% 1.96/2.13 end_of_list.
% 1.96/2.13
% 1.96/2.13 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=14.
% 1.96/2.13
% 1.96/2.13 This ia a non-Horn set with equality. The strategy will be
% 1.96/2.13 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.96/2.13 deletion, with positive clauses in sos and nonpositive
% 1.96/2.13 clauses in usable.
% 1.96/2.13
% 1.96/2.13 dependent: set(knuth_bendix).
% 1.96/2.13 dependent: set(anl_eq).
% 1.96/2.13 dependent: set(para_from).
% 1.96/2.13 dependent: set(para_into).
% 1.96/2.13 dependent: clear(para_from_right).
% 1.96/2.13 dependent: clear(para_into_right).
% 1.96/2.13 dependent: set(para_from_vars).
% 1.96/2.13 dependent: set(eq_units_both_ways).
% 1.96/2.13 dependent: set(dynamic_demod_all).
% 1.96/2.13 dependent: set(dynamic_demod).
% 1.96/2.13 dependent: set(order_eq).
% 1.96/2.13 dependent: set(back_demod).
% 1.96/2.13 dependent: set(lrpo).
% 1.96/2.13 dependent: set(hyper_res).
% 1.96/2.13 dependent: set(unit_deletion).
% 1.96/2.13 dependent: set(factor).
% 1.96/2.13
% 1.96/2.13 ------------> process usable:
% 1.96/2.13 ** KEPT (pick-wt=22): 1 [] in($f5(A),A)| -in($f2(A),omega)| -element(B,powerset(powerset($f2(A))))|B=empty_set|in($f1(A,B),B).
% 1.96/2.13 ** KEPT (pick-wt=30): 2 [] in($f5(A),A)| -in($f2(A),omega)| -element(B,powerset(powerset($f2(A))))|B=empty_set| -in(C,B)| -subset($f1(A,B),C)|C=$f1(A,B).
% 1.96/2.13 ** KEPT (pick-wt=18): 3 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B|in(B,omega).
% 1.96/2.13 ** KEPT (pick-wt=22): 4 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B|element($f4(A,B),powerset(powerset(B))).
% 1.96/2.14 ** KEPT (pick-wt=20): 5 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B|$f4(A,B)!=empty_set.
% 1.96/2.14 ** KEPT (pick-wt=28): 6 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B| -in(C,$f4(A,B))|in($f3(A,B,C),$f4(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=26): 7 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B| -in(C,$f4(A,B))|subset(C,$f3(A,B,C)).
% 1.96/2.14 ** KEPT (pick-wt=26): 8 [] -in($f5(A),A)| -in($f5(A),succ($c1))| -ordinal(B)|$f5(A)!=B| -in(C,$f4(A,B))|$f3(A,B,C)!=C.
% 1.96/2.14 ** KEPT (pick-wt=2): 9 [] -empty($c2).
% 1.96/2.14 ** KEPT (pick-wt=5): 10 [] empty(A)| -empty($f7(A)).
% 1.96/2.14 ** KEPT (pick-wt=8): 11 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.96/2.14 ** KEPT (pick-wt=4): 12 [] -empty(A)|finite(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 13 [] -empty(A)|function(A).
% 1.96/2.14 ** KEPT (pick-wt=8): 14 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 15 [] -empty(A)|relation(A).
% 1.96/2.14 ** KEPT (pick-wt=2): 16 [] -empty($c8).
% 1.96/2.14 ** KEPT (pick-wt=6): 17 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 1.96/2.14 ** KEPT (pick-wt=6): 18 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 1.96/2.14 ** KEPT (pick-wt=6): 19 [] -empty(A)| -ordinal(A)|natural(A).
% 1.96/2.14 ** KEPT (pick-wt=2): 20 [] -empty($c10).
% 1.96/2.14 ** KEPT (pick-wt=7): 21 [] -ordinal(A)| -natural(A)| -empty(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=7): 22 [] -ordinal(A)| -natural(A)|epsilon_transitive(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=7): 23 [] -ordinal(A)| -natural(A)|epsilon_connected(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=7): 24 [] -ordinal(A)| -natural(A)|ordinal(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=7): 25 [] -ordinal(A)| -natural(A)|natural(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=6): 26 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 27 [] -empty(A)|epsilon_transitive(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 28 [] -empty(A)|epsilon_connected(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 29 [] -empty(A)|ordinal(A).
% 1.96/2.14 ** KEPT (pick-wt=2): 30 [] -empty($c13).
% 1.96/2.14 ** KEPT (pick-wt=5): 31 [] empty(A)| -empty($f8(A)).
% 1.96/2.14 ** KEPT (pick-wt=2): 32 [] -empty($c15).
% 1.96/2.14 ** KEPT (pick-wt=6): 33 [] -in(A,B)| -in(B,A).
% 1.96/2.14 ** KEPT (pick-wt=2): 34 [] -empty(omega).
% 1.96/2.14 ** KEPT (pick-wt=7): 35 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 1.96/2.14 ** KEPT (pick-wt=7): 36 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 1.96/2.14 ** KEPT (pick-wt=7): 37 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 1.96/2.14 ** KEPT (pick-wt=5): 38 [] -element(A,omega)|epsilon_transitive(A).
% 1.96/2.14 ** KEPT (pick-wt=5): 39 [] -element(A,omega)|epsilon_connected(A).
% 1.96/2.14 ** KEPT (pick-wt=5): 40 [] -element(A,omega)|ordinal(A).
% 1.96/2.14 ** KEPT (pick-wt=5): 41 [] -element(A,omega)|natural(A).
% 1.96/2.14 ** KEPT (pick-wt=3): 42 [] -empty(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=4): 43 [] -ordinal(A)|epsilon_transitive(A).
% 1.96/2.14 ** KEPT (pick-wt=4): 44 [] -ordinal(A)|epsilon_connected(A).
% 1.96/2.14 Following clause subsumed by 42 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=5): 45 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=5): 46 [] -ordinal(A)|epsilon_connected(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=5): 47 [] -ordinal(A)|ordinal(succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=3): 48 [] -empty(powerset(A)).
% 1.96/2.14 ** KEPT (pick-wt=17): 49 [] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=16): 50 [] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=15): 51 [] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=16): 53 [copy,52,flip.4] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=32): 54 [] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.14 ** KEPT (pick-wt=41): 55 [] -ordinal(A)|$f16(A)=$f15(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.14 ** KEPT (pick-wt=26): 56 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.14 ** KEPT (pick-wt=32): 57 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.14 ** KEPT (pick-wt=30): 58 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.14 ** KEPT (pick-wt=42): 59 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.14 ** KEPT (pick-wt=38): 60 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.14 ** KEPT (pick-wt=38): 61 [] -ordinal(A)|$f16(A)=$f15(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.14 ** KEPT (pick-wt=15): 62 [] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=14): 63 [] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=13): 64 [] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=14): 66 [copy,65,flip.4] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=30): 67 [] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.14 ** KEPT (pick-wt=39): 68 [] -ordinal(A)|ordinal($f11(A))| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.14 ** KEPT (pick-wt=24): 69 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.14 ** KEPT (pick-wt=30): 70 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.14 ** KEPT (pick-wt=28): 71 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.14 ** KEPT (pick-wt=40): 72 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.14 ** KEPT (pick-wt=36): 73 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.14 ** KEPT (pick-wt=36): 74 [] -ordinal(A)|ordinal($f11(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.14 ** KEPT (pick-wt=17): 75 [] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=16): 76 [] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=15): 77 [] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=16): 79 [copy,78,flip.4] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.14 ** KEPT (pick-wt=32): 80 [] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.14 ** KEPT (pick-wt=41): 81 [] -ordinal(A)|$f15(A)=$f11(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.14 ** KEPT (pick-wt=26): 82 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.14 ** KEPT (pick-wt=32): 83 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.14 ** KEPT (pick-wt=30): 84 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.14 ** KEPT (pick-wt=42): 85 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.14 ** KEPT (pick-wt=38): 86 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.14 ** KEPT (pick-wt=38): 87 [] -ordinal(A)|$f15(A)=$f11(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.14 ** KEPT (pick-wt=30): 88 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=29): 89 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.14 ** KEPT (pick-wt=28): 90 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.14 ** KEPT (pick-wt=29): 92 [copy,91,flip.7] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))|$f18(A,C)=C.
% 1.96/2.14 ** KEPT (pick-wt=45): 93 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(D,powerset(powerset($f18(A,C))))|D=empty_set|in($f17(A,C,D),D).
% 1.96/2.14 ** KEPT (pick-wt=54): 94 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(D,powerset(powerset($f18(A,C))))|D=empty_set| -in(E,D)| -subset($f17(A,C,D),E)|E=$f17(A,C,D).
% 1.96/2.14 ** KEPT (pick-wt=39): 95 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|in(E,omega).
% 1.96/2.14 ** KEPT (pick-wt=45): 96 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|element($f21(A,C,D,E),powerset(powerset(E))).
% 1.96/2.14 ** KEPT (pick-wt=43): 97 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|$f21(A,C,D,E)!=empty_set.
% 1.96/2.14 ** KEPT (pick-wt=55): 98 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|in($f20(A,C,D,E,F),$f21(A,C,D,E)).
% 1.96/2.14 ** KEPT (pick-wt=51): 99 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|subset(F,$f20(A,C,D,E,F)).
% 1.96/2.14 ** KEPT (pick-wt=51): 100 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set|in($f10(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|$f20(A,C,D,E,F)!=F.
% 1.96/2.14 ** KEPT (pick-wt=38): 101 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))|in($f19(A,D),succ(A)).
% 1.96/2.14 ** KEPT (pick-wt=37): 102 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))|$f19(A,D)=D.
% 1.96/2.14 ** KEPT (pick-wt=36): 103 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))|ordinal($f18(A,D)).
% 1.96/2.14 ** KEPT (pick-wt=37): 105 [copy,104,flip.9] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))|$f18(A,D)=D.
% 1.96/2.14 ** KEPT (pick-wt=53): 106 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))| -in($f18(A,D),omega)| -element(E,powerset(powerset($f18(A,D))))|E=empty_set|in($f17(A,D,E),E).
% 1.96/2.14 ** KEPT (pick-wt=62): 107 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)| -in(D,$f22(A))| -in($f18(A,D),omega)| -element(E,powerset(powerset($f18(A,D))))|E=empty_set| -in(F,E)| -subset($f17(A,D,E),F)|F=$f17(A,D,E).
% 1.96/2.14 ** KEPT (pick-wt=47): 108 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|in(F,omega).
% 1.96/2.14 ** KEPT (pick-wt=53): 109 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|element($f21(A,D,E,F),powerset(powerset(F))).
% 1.96/2.14 ** KEPT (pick-wt=51): 110 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|$f21(A,D,E,F)!=empty_set.
% 1.96/2.15 ** KEPT (pick-wt=63): 111 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|in($f20(A,D,E,F,G),$f21(A,D,E,F)).
% 1.96/2.15 ** KEPT (pick-wt=59): 112 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|subset(G,$f20(A,D,E,F,G)).
% 1.96/2.15 ** KEPT (pick-wt=59): 113 [] -ordinal(A)| -in($f11(A),omega)| -element(B,powerset(powerset($f11(A))))|B=empty_set| -in(C,B)| -subset($f10(A,B),C)|C=$f10(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|$f20(A,D,E,F,G)!=G.
% 1.96/2.15 ** KEPT (pick-wt=17): 114 [] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.15 ** KEPT (pick-wt=16): 115 [] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.15 ** KEPT (pick-wt=15): 116 [] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=16): 118 [copy,117,flip.4] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.15 ** KEPT (pick-wt=32): 119 [] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.15 ** KEPT (pick-wt=41): 120 [] -ordinal(A)|$f16(A)=$f14(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.15 ** KEPT (pick-wt=26): 121 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.15 ** KEPT (pick-wt=32): 122 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.15 ** KEPT (pick-wt=30): 123 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.15 ** KEPT (pick-wt=42): 124 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.15 ** KEPT (pick-wt=38): 125 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.15 ** KEPT (pick-wt=38): 126 [] -ordinal(A)|$f16(A)=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.15 ** KEPT (pick-wt=15): 127 [] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.15 ** KEPT (pick-wt=14): 128 [] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.15 ** KEPT (pick-wt=13): 129 [] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=14): 131 [copy,130,flip.4] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.15 ** KEPT (pick-wt=30): 132 [] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.15 ** KEPT (pick-wt=39): 133 [] -ordinal(A)|ordinal($f13(A))| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.15 ** KEPT (pick-wt=24): 134 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.15 ** KEPT (pick-wt=30): 135 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.15 ** KEPT (pick-wt=28): 136 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.15 ** KEPT (pick-wt=40): 137 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.15 ** KEPT (pick-wt=36): 138 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.15 ** KEPT (pick-wt=36): 139 [] -ordinal(A)|ordinal($f13(A))|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.16 ** KEPT (pick-wt=17): 140 [] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 1.96/2.16 ** KEPT (pick-wt=16): 141 [] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))|$f19(A,B)=B.
% 1.96/2.16 ** KEPT (pick-wt=15): 142 [] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))|ordinal($f18(A,B)).
% 1.96/2.16 ** KEPT (pick-wt=16): 144 [copy,143,flip.4] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))|$f18(A,B)=B.
% 1.96/2.16 ** KEPT (pick-wt=32): 145 [] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 1.96/2.16 ** KEPT (pick-wt=41): 146 [] -ordinal(A)|$f14(A)=$f13(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 1.96/2.16 ** KEPT (pick-wt=26): 147 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 1.96/2.16 ** KEPT (pick-wt=32): 148 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 1.96/2.16 ** KEPT (pick-wt=30): 149 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 1.96/2.16 ** KEPT (pick-wt=42): 150 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 1.96/2.16 ** KEPT (pick-wt=38): 151 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 1.96/2.16 ** KEPT (pick-wt=38): 152 [] -ordinal(A)|$f14(A)=$f13(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 1.96/2.16 ** KEPT (pick-wt=30): 153 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))|in($f19(A,C),succ(A)).
% 1.96/2.16 ** KEPT (pick-wt=29): 154 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))|$f19(A,C)=C.
% 1.96/2.16 ** KEPT (pick-wt=28): 155 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))|ordinal($f18(A,C)).
% 1.96/2.16 ** KEPT (pick-wt=29): 157 [copy,156,flip.7] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))|$f18(A,C)=C.
% 1.96/2.16 ** KEPT (pick-wt=45): 158 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(D,powerset(powerset($f18(A,C))))|D=empty_set|in($f17(A,C,D),D).
% 1.96/2.16 ** KEPT (pick-wt=54): 159 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)| -in(C,$f22(A))| -in($f18(A,C),omega)| -element(D,powerset(powerset($f18(A,C))))|D=empty_set| -in(E,D)| -subset($f17(A,C,D),E)|E=$f17(A,C,D).
% 1.96/2.16 ** KEPT (pick-wt=39): 160 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|in(E,omega).
% 1.96/2.16 ** KEPT (pick-wt=45): 161 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|element($f21(A,C,D,E),powerset(powerset(E))).
% 1.96/2.16 ** KEPT (pick-wt=43): 162 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E|$f21(A,C,D,E)!=empty_set.
% 1.96/2.16 ** KEPT (pick-wt=55): 163 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|in($f20(A,C,D,E,F),$f21(A,C,D,E)).
% 1.96/2.16 ** KEPT (pick-wt=51): 164 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|subset(F,$f20(A,C,D,E,F)).
% 1.96/2.16 ** KEPT (pick-wt=51): 165 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set|in($f12(A,B),B)|in(C,$f22(A))| -in(D,succ(A))|D!=C| -ordinal(E)|C!=E| -in(F,$f21(A,C,D,E))|$f20(A,C,D,E,F)!=F.
% 2.39/2.57 ** KEPT (pick-wt=38): 166 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))|in($f19(A,D),succ(A)).
% 2.39/2.57 ** KEPT (pick-wt=37): 167 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))|$f19(A,D)=D.
% 2.39/2.57 ** KEPT (pick-wt=36): 168 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))|ordinal($f18(A,D)).
% 2.39/2.57 ** KEPT (pick-wt=37): 170 [copy,169,flip.9] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))|$f18(A,D)=D.
% 2.39/2.57 ** KEPT (pick-wt=53): 171 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))| -in($f18(A,D),omega)| -element(E,powerset(powerset($f18(A,D))))|E=empty_set|in($f17(A,D,E),E).
% 2.39/2.57 ** KEPT (pick-wt=62): 172 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)| -in(D,$f22(A))| -in($f18(A,D),omega)| -element(E,powerset(powerset($f18(A,D))))|E=empty_set| -in(F,E)| -subset($f17(A,D,E),F)|F=$f17(A,D,E).
% 2.39/2.57 ** KEPT (pick-wt=47): 173 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|in(F,omega).
% 2.39/2.57 ** KEPT (pick-wt=53): 174 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|element($f21(A,D,E,F),powerset(powerset(F))).
% 2.39/2.57 ** KEPT (pick-wt=51): 175 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F|$f21(A,D,E,F)!=empty_set.
% 2.39/2.57 ** KEPT (pick-wt=63): 176 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|in($f20(A,D,E,F,G),$f21(A,D,E,F)).
% 2.39/2.57 ** KEPT (pick-wt=59): 177 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|subset(G,$f20(A,D,E,F,G)).
% 2.39/2.57 ** KEPT (pick-wt=59): 178 [] -ordinal(A)| -in($f13(A),omega)| -element(B,powerset(powerset($f13(A))))|B=empty_set| -in(C,B)| -subset($f12(A,B),C)|C=$f12(A,B)|in(D,$f22(A))| -in(E,succ(A))|E!=D| -ordinal(F)|D!=F| -in(G,$f21(A,D,E,F))|$f20(A,D,E,F,G)!=G.
% 2.39/2.57 ** KEPT (pick-wt=17): 179 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))|in($f19(A,B),succ(A)).
% 2.39/2.57 ** KEPT (pick-wt=16): 180 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))|$f19(A,B)=B.
% 2.39/2.57 ** KEPT (pick-wt=15): 181 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))|ordinal($f18(A,B)).
% 2.39/2.57 ** KEPT (pick-wt=16): 183 [copy,182,flip.4] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))|$f18(A,B)=B.
% 2.39/2.57 ** KEPT (pick-wt=32): 184 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set|in($f17(A,B,C),C).
% 2.39/2.57 ** KEPT (pick-wt=41): 185 [] -ordinal(A)|$f15(A)!=$f14(A)| -in(B,$f22(A))| -in($f18(A,B),omega)| -element(C,powerset(powerset($f18(A,B))))|C=empty_set| -in(D,C)| -subset($f17(A,B,C),D)|D=$f17(A,B,C).
% 2.39/2.57 ** KEPT (pick-wt=26): 186 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|in(D,omega).
% 2.39/2.57 ** KEPT (pick-wt=32): 187 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|element($f21(A,B,C,D),powerset(powerset(D))).
% 2.39/2.57 ** KEPT (pick-wt=30): 188 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D|$f21(A,B,C,D)!=empty_set.
% 2.39/2.57 ** KEPT (pick-wt=42): 189 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|in($f20(A,B,C,D,E),$f21(A,B,C,D)).
% 2.39/2.57 ** KEPT (pick-wt=38): 190 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|subset(E,$f20(A,B,C,D,E)).
% 2.39/2.57 ** KEPT (pick-wt=38): 191 [] -ordinal(A)|$f15(A)!=$f14(A)|in(B,$f22(A))| -in(C,succ(A))|C!=B| -ordinal(D)|B!=D| -in(E,$f21(A,B,C,D))|$f20(A,B,C,D,E)!=E.
% 2.39/2.57 27 back subsumes 17.
% 2.39/2.57 28 back subsumes 18.
% 2.39/2.57 42 back subsumes 21.
% 2.39/2.57 45 back subsumes 22.
% 2.39/2.57 46 back subsumes 23.
% 2.39/2.57 47 back subsumes 24.
% 2.39/2.57
% 2.39/2.57 ------------> process sos:
% 2.39/2.57 ** KEPT (pick-wt=3): 702 [] A=A.
% 2.39/2.57 ** KEPT (pick-wt=2): 703 [] ordinal($c1).
% 2.39/2.57 ** KEPT (pick-wt=9): 704 [] in($f5(A),A)|in($f5(A),succ($c1)).
% 2.39/2.57 ** KEPT (pick-wt=7): 705 [] in($f5(A),A)|ordinal($f2(A)).
% 2.39/2.57 ** KEPT (pick-wt=9): 706 [] in($f5(A),A)|$f5(A)=$f2(A).
% 2.39/2.57 ** KEPT (pick-wt=2): 707 [] finite($c2).
% 2.39/2.57 ** KEPT (pick-wt=5): 708 [] element($f6(A),powerset(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 709 [] empty($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 710 [] relation($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 711 [] function($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 712 [] one_to_one($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 713 [] epsilon_transitive($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 714 [] epsilon_connected($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 715 [] ordinal($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 716 [] natural($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 717 [] finite($f6(A)).
% 2.39/2.57 ** KEPT (pick-wt=7): 718 [] empty(A)|element($f7(A),powerset(A)).
% 2.39/2.57 ** KEPT (pick-wt=5): 719 [] empty(A)|finite($f7(A)).
% 2.39/2.57 ** KEPT (pick-wt=2): 720 [] relation($c3).
% 2.39/2.57 ** KEPT (pick-wt=2): 721 [] function($c3).
% 2.39/2.57 ** KEPT (pick-wt=2): 722 [] relation($c4).
% 2.39/2.57 ** KEPT (pick-wt=2): 723 [] empty($c4).
% 2.39/2.57 ** KEPT (pick-wt=2): 724 [] function($c4).
% 2.39/2.57 ** KEPT (pick-wt=2): 725 [] relation($c5).
% 2.39/2.57 ** KEPT (pick-wt=2): 726 [] function($c5).
% 2.39/2.57 ** KEPT (pick-wt=2): 727 [] one_to_one($c5).
% 2.39/2.57 ** KEPT (pick-wt=2): 728 [] relation($c6).
% 2.39/2.57 ** KEPT (pick-wt=2): 729 [] relation_empty_yielding($c6).
% 2.39/2.57 ** KEPT (pick-wt=2): 730 [] function($c6).
% 2.39/2.57 ** KEPT (pick-wt=2): 731 [] empty($c7).
% 2.39/2.57 ** KEPT (pick-wt=2): 732 [] relation($c7).
% 2.39/2.57 ** KEPT (pick-wt=2): 733 [] relation($c8).
% 2.39/2.57 ** KEPT (pick-wt=2): 734 [] relation($c9).
% 2.39/2.57 ** KEPT (pick-wt=2): 735 [] relation_empty_yielding($c9).
% 2.39/2.57 ** KEPT (pick-wt=2): 736 [] epsilon_transitive($c10).
% 2.39/2.57 ** KEPT (pick-wt=2): 737 [] epsilon_connected($c10).
% 2.39/2.57 ** KEPT (pick-wt=2): 738 [] ordinal($c10).
% 2.39/2.57 ** KEPT (pick-wt=2): 739 [] natural($c10).
% 2.39/2.57 ** KEPT (pick-wt=2): 740 [] epsilon_transitive($c11).
% 2.39/2.57 ** KEPT (pick-wt=2): 741 [] epsilon_connected($c11).
% 2.39/2.57 ** KEPT (pick-wt=2): 742 [] ordinal($c11).
% 2.39/2.57 ** KEPT (pick-wt=2): 743 [] relation($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 744 [] function($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 745 [] one_to_one($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 746 [] empty($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 747 [] epsilon_transitive($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 748 [] epsilon_connected($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 749 [] ordinal($c12).
% 2.39/2.57 ** KEPT (pick-wt=2): 750 [] epsilon_transitive($c13).
% 2.39/2.57 ** KEPT (pick-wt=2): 751 [] epsilon_connected($c13).
% 2.39/2.57 ** KEPT (pick-wt=2): 752 [] ordinal($c13).
% 2.39/2.57 ** KEPT (pick-wt=7): 753 [] empty(A)|element($f8(A),powerset(A)).
% 2.39/2.57 ** KEPT (pick-wt=5): 754 [] element($f9(A),powerset(A)).
% 2.39/2.57 ** KEPT (pick-wt=3): 755 [] empty($f9(A)).
% 2.39/2.57 ** KEPT (pick-wt=2): 756 [] empty($c14).
% 2.39/2.57 ** KEPT (pick-wt=3): 757 [] subset(A,A).
% 2.39/2.57 ** KEPT (pick-wt=2): 758 [] epsilon_transitive(omega).
% 2.39/2.57 ** KEPT (pick-wt=2): 759 [] epsilon_connected(omega).
% 2.39/2.57 ** KEPT (pick-wt=2): 760 [] ordinal(omega).
% 2.39/2.57 ** KEPT (pick-wt=2): 761 [] empty(empty_set).
% 2.39/2.57 ** KEPT (pick-wt=2): 762 [] relation(empty_set).
% 2.39/2.57 Following clause subsumed by 761 during input processing: 0 [] empty(empty_set).
% 2.39/2.57 Following clause subsumed by 762 during input processing: 0 [] relation(empty_set).
% 2.39/2.57 ** KEPT (pick-wt=2): 763 [] relation_empty_yielding(empty_set).
% 2.39/2.57 Following clause subsumed by 762 during input processing: 0 [] relation(empty_set).
% 2.39/2.57 Following clause subsumed by 763 during input processing: 0 [] relation_empty_yielding(empty_set).
% 2.39/2.57 ** KEPT (pick-wt=2): 764 [] function(empty_set).
% 7.90/8.09 ** KEPT (pick-wt=2): 765 [] one_to_one(empty_set).
% 7.90/8.09 Following clause subsumed by 761 during input processing: 0 [] empty(empty_set).
% 7.90/8.09 ** KEPT (pick-wt=2): 766 [] epsilon_transitive(empty_set).
% 7.90/8.09 ** KEPT (pick-wt=2): 767 [] epsilon_connected(empty_set).
% 7.90/8.09 ** KEPT (pick-wt=2): 768 [] ordinal(empty_set).
% 7.90/8.09 Following clause subsumed by 761 during input processing: 0 [] empty(empty_set).
% 7.90/8.09 Following clause subsumed by 702 during input processing: 0 [copy,702,flip.1] A=A.
% 7.90/8.09
% 7.90/8.09 ======= end of input processing =======
% 7.90/8.09
% 7.90/8.09 =========== start of search ===========
% 7.90/8.09
% 7.90/8.09
% 7.90/8.09 Resetting weight limit to 2.
% 7.90/8.09
% 7.90/8.09
% 7.90/8.09 Resetting weight limit to 2.
% 7.90/8.09
% 7.90/8.09 sos_size=67
% 7.90/8.09
% 7.90/8.09 Search stopped because sos empty.
% 7.90/8.09
% 7.90/8.09
% 7.90/8.09 Search stopped because sos empty.
% 7.90/8.09
% 7.90/8.09 ============ end of search ============
% 7.90/8.09
% 7.90/8.09 -------------- statistics -------------
% 7.90/8.09 clauses given 95
% 7.90/8.09 clauses generated 42413
% 7.90/8.09 clauses kept 785
% 7.90/8.09 clauses forward subsumed 341
% 7.90/8.09 clauses back subsumed 6
% 7.90/8.09 Kbytes malloced 5859
% 7.90/8.09
% 7.90/8.09 ----------- times (seconds) -----------
% 7.90/8.09 user CPU time 5.99 (0 hr, 0 min, 5 sec)
% 7.90/8.09 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 7.90/8.09 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 7.90/8.09
% 7.90/8.09 Process 9368 finished Wed Jul 27 08:10:07 2022
% 7.90/8.09 Otter interrupted
% 7.90/8.09 PROOF NOT FOUND
%------------------------------------------------------------------------------